30 citations · 68 across the 8 of their papers we have counts for
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cs.LG2012★ 30 cited
Learning Probability Measures with respect to Optimal Transport Metrics
Guillermo D. Canas, Lorenzo Rosasco
We study the problem of estimating, in the sense of optimal transport metrics, a measure which is assumed supported on a manifold embedded in a Hilbert space. By establishing a pre…
cs.LG2012★ 17 cited
Learning Manifolds with K-Means and K-Flats
Guillermo D. Canas, Tomaso Poggio, Lorenzo Rosasco
We study the problem of estimating a manifold from random samples. In particular, we consider piecewise constant and piecewise linear estimators induced by k-means and k-flats, and…
cs.CG2012
Practical Conditions for Well-behaved-ness of Anisotropic Voronoi Diagrams
Guillermo D. Canas
Recently, simple conditions for well-behaved-ness of anisotropic Voronoi diagrams have been proposed. While these conditions ensure well-behaved-ness of two types of practical anis…